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Finding the Fourth Proportional to 32,792.40, 48,877.30 and 31,712.40

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Solution

The fourth proportional to 32,792.40, 48,877.30 and 31,712.40 is: 47,267.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,792.40 : 48,877.30 = 31,712.40 : x
  2. Step 2: Convert to fraction form
    32,792.40/48,877.30 = 31,712.40/x
  3. Step 3: Cross multiply
    32,792.40x = 48,877.30 × 31,712.40
  4. Step 4: Simplify right side
    32,792.40x = 1,550,016,488.52
  5. Step 5: Solve for x
    x = 1,550,016,488.52/32,792.40
  6. Step 6: Final answer
    x = 47,267.55

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.